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On Matrices that are not Similar to a Toeplitz Matrix and a Family of Polynomials Tewodros Amdeberhan and Georg Heinig

  • Tewodros Amdeberhan
  • Georg Heinig
Part of the Operator Theory: Advances and Applications book series (OT, volume 199)

Abstract

A conjecture from the second author’s paper [Linear Algebra Appl., 332–334 (2001) 519–531] concerning a family of polynomials is proved and strengthened. A consequence of this is that for any n ≥ 4 there is an n × n matrix that is not similar to a Toeplitz matrix, which was proved before for odd n and n = 6, 8, 10.

Mathematics Subject Classification (2000)

Primary 15A21 Secondary 15A18 

Keywords

Toeplitz matrix Jordan normal form Inverse eigenvalue problem 

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References

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2010

Authors and Affiliations

  • Tewodros Amdeberhan
    • 1
  • Georg Heinig
    • 1
  1. 1.MathematicsTulane UniversityNew OrleansUSA

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